Download Course Objectives

MATH 0310
INTERMEDIATE ALGEBRA
COURSE OBJECTIVES
The student will demonstrate an ability to:
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Use a general strategy to factor a polynomial completely.
Add and subtract two rational expressions.
Simplify a complex fraction.
Solve an equation containing rational expressions.
Solve an application problem involving rational expressions.
Solve a compound inequality in one variable.
Express the solution to a compound inequality (i) in set-builder notation, (ii) as
a graph, and (iii) in interval notation.
Identify a relation as a function given (i) a set of points, (ii) an equation, (iii) a
graph using the vertical line test, or (iv) a table of values.
Evaluate a function for a specified value given an equation and a graph.
Determine the domain of a function given an equation.
Determine the domain and range of a graph.
Find the sum, difference, product, and quotient of two functions, and the
domain of the quotient of two functions.
Find the slope of a line given: (i) two points on the line, (ii) an equation of the
line, (iii) the slope of a line parallel or perpendicular to it, (iv) an equation of
another line parallel or perpendicular to it, (v) a table of values, and (vi) a
graph.
Write the equation in slope-intercept form if applicable, given a linear equation.
Determine whether two equations represent parallel lines, perpendicular lines,
or neither.
Write an equation of a line given: (i) the slope and y-intercept, (ii) the slope and
a point on the line, (iii) two points on the line, (iv) it is parallel to or
perpendicular to another line passing through a specified point, (v) a table of
values, and (vi) a graph.
Solve a system of linear equations in two variables by: (i) graphing manually
and with a graphing calculator, (ii) substitution, and (iii) elimination.
Write a system of linear equations in two variables describing an application
problem, solve the system, and interpret the solution.
Graph a system of linear inequalities in two variables.
Simplify a radical expression and verify using a graphing calculator when
appropriate.
Evaluate a radical function.
Determine the domain of a radical function from an equation and a graph.
Simplify an expression containing rational exponents.
Add, subtract, and multiply radical expressions.
Divide an expression with a monomial or binomial denominator containing a
radical.
Solve a radical equation.
Textbook Ref: Elementary and Intermediate Algebra, 2/ed, Carson
Rev: Aug. 2010
Textbook
Reference
(6.5)
(7.4)
(7.5)
(7.6)
(7.7)
(8.1)
(8.1)
(8.4)
(8.4)
(8.4, 10.1)
(8.4)
(8.5)
(4.5 and
Supplement)
(4.5)
(4.5)
(4.5 and
Supplement)
(9.1, 9.2, 9.3)
(Supplement)
(9.7)
(10.1,10.2,10.3,
10.4)
(10.1)
(10.1)
(10.2)
(10.3, 10.4)
(10.3, 10.5)
(10.6)
Page 1 of 3
The student will demonstrate an ability to:
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Add, subtract, multiply, and divide complex numbers.
Solve a quadratic equation with integer coefficients by (i) factoring, (ii) using
the square root principle, (iii) completing the square, and (iv) the quadratic
formula.
Solve an equation that is quadratic in form by factoring or substitution.
Solve an application problem involving quadratic equations.
Graph a quadratic function by plotting the intercepts, the vertex, and utilizing
the axis of symmetry.
  b   b 
Find (i) the vertex using  , f    , (ii) the direction of the parabola, and
 2a  2a  
(iii) the axis of symmetry, given a quadratic function in the form
2
f ( x)  ax  bx  c .
Determine any maximum or minimum, given a graph of a quadratic function.
Solve a quadratic inequality
Determine an equation of a circle given the center and radius or diameter, or the
endpoints of the diameter.
Find the center and radius of a circle given an equation and then graph the
circle.
Find the distance between two points.
Find the midpoint of a line segment.
Textbook
Reference
(10.7)
(11.1, 11.2)
(11.3)
(11.3, 11.4)
(11.4)
(11.4)
(11.4)
(11.5)
(13.1)
(13.1)
(13.1)
(Supplement)
The student will demonstrate competency in the use of a graphing calculator by:
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Using the ROOT (ZERO) and INTERSECT features to solve an equation.
Using the INTERSECT feature to solve a system of linear equations.
Checking solutions to a linear or quadratic equation using the VARS, VALUE,
STO or TABLE feature.
Identifying the maximum or minimum value of a quadratic function using the
MINIMUM or MAXIMUM feature.
Find the composition of two functions.
Graphing a linear function.
, 3 , x features to verify the simplification of a radical
Using the
expression, when appropriate.
Optional Topics
 Calculate a rate of change from a table and a graph.
 Determine the variation constant, write an equation of variation, and solve a
problem requiring direct variation and inverse variation.
 Solve an absolute value inequality.
 Solve a 3 x 3 system of linear equations.
 Use the discriminant to predict number and kind of solutions.
 Find the composition of two functions.
 Determine the interval(s) where a function is increasing, decreasing, or constant
given a graph.
Textbook Ref: Elementary and Intermediate Algebra, 2/ed, Carson
Rev: Aug. 2010
(10.6, 11.3)
(9.1)
(11.1, 11.2,
11.3)
(11.4)
(12.1)
(8.4, 4.7)
(10.1, 10.2,
10.3, 10.4)
(4.5)
(7.7)
(8.3)
(9.4)
(11.2)
(12.1)
Supplement
Page 2 of 3
Textbook Ref: Elementary and Intermediate Algebra, 2/ed, Carson
Rev: Aug. 2010
Page 3 of 3